Local theory of frames and Schauder bases for Hilbert space
Functional Analysis
2007-05-23 v1
Abstract
We develope a local theory for frames on finite dimensional Hilbert spaces. In particular, a bounded frame on a finite dimensional Hilbert space contains a subset which is a good Riesz basis for a percentage (arbitrarily close to one) of the space. We also construct a normalized frame for a Hilbert space which contains a subset which is a Schauder basis for H but does not contain any subset which is a Riesz basis for H.
Cite
@article{arxiv.math/9811147,
title = {Local theory of frames and Schauder bases for Hilbert space},
author = {Peter G. Casazza},
journal= {arXiv preprint arXiv:math/9811147},
year = {2007}
}
Comments
15 pages; to appear: Illinois J. Math